Equation of a Line Quiz Y8

Write down the gradient of each of these lines. (a) y = 3x + 1

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• 5
• 2
• 3

Write down the gradient of each of these lines. (c) y = 7x + 4

• 7x

• 5
• 2x
• 7

Write down where each of these lines cross the y-axis (y-intercept) (a) y = 2x + 3 (b) y = 7x + 1 (c) y = 3x − 2 (d) y = x − 5 (e) y = 2x (f) y = −4x + 6 (g) y = −5x − 3 (h) y = −3x (i) (j)

Write down the equation of the lines below (a) gradient of 3 and y-intercept of 6 (b) gradient of 2 and y-intercept of -1 (c) gradient of -4 and y-intercept of 3 (d) gradient of 8 and y-intercept of 4 (e) gradient of 1 and passing through (0, 4) (f) passing through (0, -2) with gradient 4 (g) gradient of -5 and passing through the origin.

Does the point (2, 5) lie on the line y = 3x − 1? (b) Does the point (4, 1) lie on the line y = 3x + 1? (c) Does the point (3, 1) lie on the line y = x − 3? (d) Does the point (5, 7) lie on the line y = −3x + 22? (e) Does the point (−4, −8) lie on the line y = −2x? (f) Does the point (−1, 8) lie on the line y = 2x + 11? (g) Does the point (12, 60) lie on the line y = 7x − 18?

Find the equation of the straight line that passes through the points (a) (0, 3) and (4, 19) (b) (0, 2) and (6, 20) (c) (0, 0) and (1, 4) (d) (0, −9) and (9, 0) (e) (0, −6) and (7, 8) (f) (−8, −10) and (0, 14) (g) (0, 2) and (10, 7) (h) (−4, 1) and (0, 7) (i) (−4, 0) and (0, 18)

Find the equation of the straight line that: (a) has a gradient of 4 and passes through the point (1, 10) (b) has a gradient of 2 and passes through the point (−3, 3) (c) has a gradient of 1 and passes through the point (5, 2) (d) has a gradient of −3 and passes through the point (−2, 8) (e) has a gradient of −5 and passes through the point (3, −1) (f) has a gradient of -5 and passes through the point (3, -1)

Find the equation of the line passing (0, −6) and (7, 8)

A line has equation y = 2x + 6 The line crosses the x−axis at the point A The line crosses the y−axis at the point B The point C has coordinates (1, 8) (a) Find the coordinates of the point A (b) Find the coordinates of the point B (c) Find the equation of the straight line passing through the points A and C.

Find the gradient of the line given by the equation y = 2x - 5.

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